What is the compound interest if $490 is invested for 15 years at 10% compounded continuously? (Round your answer to the nearest cent.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 4PT: An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded...
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What is the compound interest if $490 is invested for 15 years at 10% compounded continuously? (Round your answer to the nearest cent.)

Expert Solution
Step 1

Principal=$490

Rate of interest =10%

                          =10100

                         = 0.1

Time = 10 years

Since the compounded continuously , the equation is:

A=Pert=490×e(0.1)(10)=490×e1=490×2.7182182=1331.958=1331.96 ( rounding off )

               

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